열린집합, 개집합, open set
// from mw
2차원에선 open set은 원판,disk,
3차원에선 open set은 공,ball.
open set의 complement(set_complement)은 닫힌집합,closed_set.
2차원에선 open set은 원판,disk,
3차원에선 open set은 공,ball.
open set의 complement(set_complement)은 닫힌집합,closed_set.
opp. 닫힌집합,closed_set
Twins:
ALSOIN 닫힌집합,closed_set ... 그럼 열린집합과_닫힌집합,open_and_closed_set 을 만들?
{
http://mathonline.wikidot.com/the-open-and-closed-sets-of-a-topological-space
{
http://mathonline.wikidot.com/the-open-and-closed-sets-of-a-topological-space
limit_point = https://en.wiktionary.org/wiki/limit_point#English
https://mathworld.wolfram.com/LimitPoint.html 수학백과: 극한점
https://encyclopediaofmath.org/wiki/Limit_point_of_a_set
Limit_point redir to Accumulation_point
극한점 극한점 limit_point 극한점}
https://mathworld.wolfram.com/LimitPoint.html 수학백과: 극한점
https://encyclopediaofmath.org/wiki/Limit_point_of_a_set
Limit_point redir to Accumulation_point
극한점 극한점 limit_point 극한점}
accumulation_point accumulation_point =,accumulation_point . accumulation_point {
accumulation point
집적점
accumulation point
집적점
accumulation_point = https://en.wiktionary.org/wiki/accumulation_point
https://mathworld.wolfram.com/AccumulationPoint.html
https://encyclopediaofmath.org/wiki/Accumulation_point
위상 해석 모두에서 cluster_point limit_point 와 동의어라 함
limit_point = https://en.wiktionary.org/wiki/limit_point#English에서는 "(point whose every neighborhood contains a point in a given subset):"
https://en.wikipedia.org/wiki/Accumulation_pointhttps://mathworld.wolfram.com/AccumulationPoint.html
https://encyclopediaofmath.org/wiki/Accumulation_point
Sub: complete_accumulation_point =,complete_accumulation_point . complete_accumulation_point { complete accumulation point complete_accumulation_point https://encyclopediaofmath.org/wiki/Complete_accumulation_point Up: 완비성,completeness? }
집적점 집적점 집적점 accumulation_point 집적점 } // 위상에서 이 둘은 동의어? chk
clopen_set clopen_set =,clopen_set . clopen_set { 닫힌집합,closed_set ... clopen_set https://en.citizendium.org/wiki/Clopen_set (한줄 short)
https://proofwiki.org/wiki/Definition:Clopen_Set
Clopen_set
https://encyclopediaofmath.org/wiki/Open-closed_set
clopen set
}
clopen_set clopen_set =,clopen_set . clopen_set { 닫힌집합,closed_set ... clopen_set https://en.citizendium.org/wiki/Clopen_set (한줄 short)
https://proofwiki.org/wiki/Definition:Clopen_Set
Clopen_set
https://encyclopediaofmath.org/wiki/Open-closed_set
clopen set
}